Geodesic
$Z$-functions with spherical character of the complete matrix algebra over a function field
Matematičeskie zametki, Tome 5 (1969) no. 5, pp. 577-586 
G. N. Maloletkin. $Z$-functions with spherical character of the complete matrix algebra over a function field. Matematičeskie zametki, Tome 5 (1969) no. 5, pp. 577-586. http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a10/
@article{MZM_1969_5_5_a10,
     author = {G. N. Maloletkin},
     title = {$Z$-functions with spherical character of the complete matrix algebra over a~function field},
     journal = {Matemati\v{c}eskie zametki},
     pages = {577--586},
     year = {1969},
     volume = {5},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a10/}
}
TY  - JOUR
AU  - G. N. Maloletkin
TI  - $Z$-functions with spherical character of the complete matrix algebra over a function field
JO  - Matematičeskie zametki
PY  - 1969
SP  - 577
EP  - 586
VL  - 5
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a10/
LA  - ru
ID  - MZM_1969_5_5_a10
ER  - 
%0 Journal Article
%A G. N. Maloletkin
%T $Z$-functions with spherical character of the complete matrix algebra over a function field
%J Matematičeskie zametki
%D 1969
%P 577-586
%V 5
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a10/
%G ru
%F MZM_1969_5_5_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that the $Z$-functions of a class we consider can be extended and we derive a functional equation.